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30 November, 21:45

In a certain normal distribution of scores, the mean is 40 and the standard deviation is 3. Find the Z-score corresponding to a score

of 54.

a. 4.67

c. 4.67

b. 18.0

d. 13.33

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Answers (1)
  1. 1 December, 00:17
    0
    choice a.) 4.67

    Step-by-step explanation:

    We have a Normal curve

    mean u = 40

    standard deviation s = 3

    we can the z-score for x = 54

    P (X > 54) = probability corresponding to the z-score

    P (Z > (54 - 40) / 3) = P (Z > 14/3) = P (Z > 4.667)

    The Z-score: Z > (54 - 40) / 3 = 4.667

    but the Probability is close to 0 about 0.000003
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